A334962 Decimal expansion of the distance from (0,0) to the nearest point of intersection of y = sec x and y = csc x.

1, 6, 1, 7, 6, 6, 8, 1, 5, 9, 7, 4, 9, 7, 3, 2, 1, 4, 3, 3, 3, 8, 5, 0, 8, 2, 1, 6, 4, 8, 5, 6, 1, 1, 7, 4, 8, 9, 1, 2, 7, 0, 9, 8, 3, 7, 7, 8, 0, 6, 6, 4, 3, 5, 0, 4, 2, 4, 3, 8, 5, 5, 1, 7, 2, 1, 8, 8, 5, 4, 0, 4, 7, 2, 4, 9, 0, 0, 8, 9, 0, 8, 0, 5, 2, 5

Offset

1,2

Links

Table of n, a(n) for n=1..86.

Formula

(distance, (0,0), (Pi/4, sqrt(2)) = (1/4) sqrt(Pi^2 + 32).

Example

distance = 1.6176681597497321433385082164856117489...

Mathematica

r = NIntegrate[Sqrt[1 + Cos[t]^2], {t, 0, Pi/4}, WorkingPrecision -> 200]
RealDigits[r][[1]]

Crossrefs

Cf. A334959, A334960, A334961.

Sequence in context: A198420 A110942 A274014 * A082830 A261622 A046902

Adjacent sequences: A334959 A334960 A334961 * A334963 A334964 A334965

Keyword

nonn,cons

Author

Clark Kimberling, Jul 01 2020

Status

approved